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11270181800 = 235256350909
BaseRepresentation
bin10100111111100000…
…10101001110101000
31002002102211112222202
422133300111032220
5141040131304200
65102155035332
7546166651613
oct123760251650
932072745882
1011270181800
1148637a6439
12222643bb48
1310a7bb5137
1478cb2117a
1545e65d1d5
hex29fc153a8

11270181800 has 24 divisors (see below), whose sum is σ = 26203173150. Its totient is φ = 4508072640.

The previous prime is 11270181763. The next prime is 11270181821. The reversal of 11270181800 is 818107211.

11270181800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4320958756 + 6949223044 = 65734^2 + 83362^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28175255 + ... + 28175654.

Almost surely, 211270181800 is an apocalyptic number.

11270181800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11270181800 is an abundant number, since it is smaller than the sum of its proper divisors (14932991350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11270181800 is a wasteful number, since it uses less digits than its factorization.

11270181800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56350925 (or 56350916 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 29.

The spelling of 11270181800 in words is "eleven billion, two hundred seventy million, one hundred eighty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 56350909 112701818 225403636 281754545 450807272 563509090 1127018180 1408772725 2254036360 2817545450 5635090900 11270181800